Real-world Ratios and Proportions Grade 6 examples

📚 Quick Study Guide

• 📏 Ratio: A ratio compares two quantities. It can be written as a fraction, using a colon, or with the word "to". For example, 3 apples to 5 oranges can be written as $3:5$, $\frac{3}{5}$, or "3 to 5".
• ⚖️ Proportion: A proportion is a statement that two ratios are equal. For example, $\frac{1}{2} = \frac{2}{4}$ is a proportion.
• 🎯 Solving Proportions: To solve a proportion, you can use cross-multiplication. If $\frac{a}{b} = \frac{c}{d}$, then $ad = bc$.
• 🪙 Unit Rate: A unit rate is a ratio where the denominator is 1. To find the unit rate, divide the numerator by the denominator. For example, if a car travels 100 miles in 2 hours, the unit rate is 50 miles per hour.
• 🗺️ Scale Drawings: Scale drawings use ratios to represent real-world objects. The scale is the ratio between the drawing's dimensions and the actual dimensions.
• 💡 Real-World Examples: Ratios and proportions are used in cooking, map reading, mixing paints, and many other everyday situations.

Practice Quiz

1. What is the ratio of vowels to consonants in the word "APPLE"?
   1. 2:3
   2. 3:2
   3. 2:5
   4. 5:2
2. A recipe calls for 2 cups of flour for every 3 cups of sugar. If you want to make a larger batch using 6 cups of sugar, how many cups of flour do you need?
   1. 3 cups
   2. 4 cups
   3. 5 cups
   4. 6 cups
3. A map has a scale of 1 inch = 50 miles. Two cities are 3 inches apart on the map. What is the actual distance between the cities?
   1. 100 miles
   2. 150 miles
   3. 200 miles
   4. 250 miles
4. If 4 notebooks cost $8, how much will 7 notebooks cost?
   1. $12
   2. $14
   3. $16
   4. $18
5. A painter mixes 2 parts blue paint with 3 parts yellow paint to make green paint. How many parts of yellow paint are needed if the painter uses 8 parts of blue paint?
   1. 10 parts
   2. 11 parts
   3. 12 parts
   4. 13 parts
6. Sarah can run 2 miles in 15 minutes. At this rate, how long will it take her to run 5 miles?
   1. 30 minutes
   2. 37.5 minutes
   3. 40 minutes
   4. 45 minutes
7. A store sells apples at a price of 3 for $1.50. How much would 12 apples cost?
   1. $4.50
   2. $5.00
   3. $6.00
   4. $7.50